Question

Cole is buying a new rain barrel to help with watering his garden. The rain barrel is shaped like a right circular cylinder. What is the volume of the rain barrel if it is 26 inches tall and has a diameter of 22 inches? Use straight pi equals 3.14.

A right circular cylinder diameter 22 inches and a height of 26 inches.

V equals_(blank)_ inches cubed

Round to the nearest hundredth if necessary. Type your numerical answer (without units) below.

Answer 1

`V = 9878.44 in^3`

Explanation:

The volume of a cylinder, is essentially base multiplied by height. Think of it like this, you are taking a flat 2D circle and extending it in 3rd dimension by a length 'h'.

`V = base * h`

The base here is the circle area, and the height is the amount you extended that 2d circle in the 3rd dimension.

The area of a circle is
`\pi r^2`. If we put that into our equation we get the volume of a cylinder.

`V = \pi r^2 *h`

Now applying that to the question; Firstly, we are given the diameter, which is 22 inches. We need radius, to actually put it in the equation. The diameter is essentially 2 multiplied by the radius. That means to get the radius we divide the diameter by 2, giving us 11 inches. Next we are given how tall it is, 26 inches; that is the height.

`r = 11in\\h = 26in`

Plug these values into the equation.

`V = 3.14(11in)^2 * 26in`

Calculate this, and you get
`V = 9878.44 in^3`